So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 55$ obviously. Secondly 45$ for the next 10 boxes.
So for now we can simply calculate that we have spent around 100$ which means 20 boxes. The remaining money left is 77$ so we can buy 77/3.5 = 22 only 22 boxes with that money. Hence a total of 42 boxes.
Since y = x - 2, replace the y in 8x + 13y = 2 with x - 2:
8x + 13(x - 2) = 2
Simplify the equation by multiplying 13 by (x - 2):
8x + 13x - 26 = 2
Add 26 on each side:
8x + 13x = 28
Add like terms:
21x = 28
Divide by 21 on each side:
x = 28/21
Simplify the fraction:
x = 4/3
Now that we have solved for x we can now use it to plug into one of the equations to solve for y. Plug in 4/3 for x in y = x - 2:
y = (4/3) - 2
Subtract:
y = -2/3
Let's check the work to make sure it is right:
8(4/3) + 13(-2/3) = 2
32/3 + -26/3 = 2
6/3 = 2
2 = 2
As you can see the system of equations has been solved correctly.
The answer is no solution
Answer:
18i, -7-i, -6+18i
Step-by-step explanation:
1. √-324
first take out the negative as √-1=i
√-324= i√324
324 =2*162
324=2*2*81
324=2*2*9*9
i√324=i√2*2*9*9= i* 2*9= 18i
3.
-4+7i-3-8i combine like terms
-4-3 -8i+7i = -7-i
5.
(1+5i)(4-2i) distribute
1*4 -1*2i +5i*4 -5i*(-2i) multiply
4 -2i +20i +10i² but i²= -1 so
4 -2i +20i -10 combine like terms
-6 +18i
Answer:
4629 inches
Step-by-step explanation:
Since there are 36 inches in a yard, the playing area is (36 * 100) = 3600 inches long, and the entire field is (36 * 120) = 4620 inches long.